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Finding the Third Proportional to 392,048 and 850,480

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Solution

The third proportional to 392,048 and 850,480 is: 1,844,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,048 : 850,480 = 850,480 : x
  2. Step 2: Convert to fraction form
    392,048/850,480 = 850,480/x
  3. Step 3: Cross multiply
    392,048x = 850,480 × 850,480
  4. Step 4: Simplify right side
    392,048x = 723,316,230,400
  5. Step 5: Solve for x
    x = 723,316,230,400/392,048
  6. Step 6: Final answer
    x = 1,844,968.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.